Determine the coordinates of the centroid of the shaded area.FSP0

crapthach24

crapthach24

Answered question

2021-12-05

Determine the coordinates of the centroid of the shaded area.
image

Answer & Explanation

Oung1985

Oung1985

Beginner2021-12-06Added 16 answers

We have:
x=ky2; b=k(1.15b)2
Let assume
1.15b=a
x=ky2; b=ka2; k=ba2.
x=ba2y2
A=dA=ydx
=0baxbdx=ab[x3/23/2]0b
=23ab
xcdA=0babx32dx=ab[x5252]0b
=25ab2
ycdA=y2ydx=12y2dx
=120ba2bxdx
=12a2b[x22]0b
=12a2b
x=xcdAA=25ab223ab=35b=0.6b
x=0.6b
y=ycdAA=14a2b23ab=38a=38(1.15b)=0.43125b
y=0.43125b

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